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| ENERGY EFFICIENCY EVALUATION MODEL IN DRILLING BASED ON FRACTAL FRAGMENTATION CHARACTERISTICS OF ROCK CUTTINGS |
| YAN Tie1,ZHANG Yang2,DU Shuming3 |
(1. College of Petroleum Engineering,Northeast Petroleum University,Daqing,Heilongjiang 163318,China;2. Oil and Gas Engineering Research Institute,PetroChina Tarim Oilfield Company,Korla,Xinjiang 841000,China;3. 50552 group,
International Drilling Company of West Drilling Engineering,Jiuquan,Gansu 735000,China) |
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Abstract According to the theory of fractal rock mechanics,energy efficiency evaluation model in drilling is established by analyzing fractal fragmentation characteristics on rock cuttings and drilling behavior characteristics,which contains crushing energy consumption model and energy efficiency model. The relationship between energy consumption and energy efficiency with fractal crushing characteristics of debris is studied. Results show that fractal dimension of particle-size distribution,maximum size and rock feature constant are dominant affecting factors for crushing energy consumption. And hydraulic decontamination coefficient and fractal dimension of particle-size distributionare are main affecting factors for energy efficiency. Energy efficiency is increasing with hydraulic decontamination and fractal dimension in exponential trend. Adjacent granularity similarity ration of rock cuttings has a little effect on energy efficiency.
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Received: 10 November 2012
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| [1] RITTINGER R P. Lehrbuch der Aufbereitungskunde[M]. Berlin:Ernst and Korn,1867:47.(in German)
[2] KICK F. Das Gesetz der proportionalen Widerstande und seine Anwendung[M]. Leipzig:Arthur Felix Verlag,1885:112.(in German)
[3] BOND F C. The third theory of comminution[J]. Transaction of American Institute of Minging,Metallurgical,and Petroleum Engineers (AIME),1952,193(2):484–494.
[4] 李启衡. 粉碎理论概要[M]. 北京:冶金工业出版社,1993:36–49.(LI Qiheng. Comminution theory[M]. Beijing:Metallurgical Industry Press,1993:36–49.(in Chinese))
[5] 谢和平,彭瑞东,鞠 杨,等. 岩石破坏的能量分析初探[J]. 岩石力学与工程学报,2005,24(15):2 603–2 608.(XIE Heping,PENG Ruidong,JU Yang,et al. Research on energy analysis of rock failure[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(15):2 603–2 608.(in Chinese))
[6] MANDELBROT B B. The fractal geometry of nature[M]. New York:Macmillan,1982:37–60.
[7] MATSUI T,WAZA T,KANI K,et al. Laboratory simulation of planetesimal collision[J]. Journal of Geophysical Research,1982,87(B13):10 968–10 982.
[8] TURCOTTE D L. Fractals and fragmentation[J]. Geophysical Research,1986,91(B2):1 921–1 926.
[9] NAGAHAMA H. Fracturing in the solid earth[J]. Tohoku University,1991,61(2):103–126.
[10] 谢和平,高 峰. 岩石类材料损伤演化的分形特征[J]. 岩石力学与工程学报,1991,10(1):74–82.(XIE Heping,GAO Feng. The fractal features of the damage evolution of rock materials[J]. Chinese Journal of Rock Mechanics and Engineering,1991,10(1):74–82.(in Chinese))
[11] 谢和平,高 峰,周宏伟,等. 岩石断裂与破碎的分形研究[J]. 防震减灾工程学报,1991,23(4):1–8.(XIE Heping,GAO Feng,ZHOU Hongwei,et al. Fractal fracture and fragmentation in rocks[J]. Journal of Disaster Prevention and Mitigation Engineering,1991,23(4):1–8.(in Chinese))
[12] 高 峰,谢和平,赵 鹏. 岩石块度分布的分形性质及细观结构效应[J]. 岩石力学与工程学报,1994,13(3):240–246.(GAO Feng,XIE Heping,ZHAO Peng. Fractal properties of size-frequency distribution of rock fragments and the influence of meso-structure[J]. Chinese Journal of Rock Mechanics and Engineering,1994,13(3):240–246.(in Chinese))
[13] 孙 强,段法兵,谢和平. 煤体爆破破碎分维评价方法的研究[J]. 岩石力学与工程学报,2000,19(4):505–508.(SUN Qiang,DUAN Fabing,XIE Heping,et al. Study on fractal dimension evaluation measurement of coal rock blasting[J]. Chinese Journal of Rock Mechanics and Engineering,2000,19(4):505–508.(in Chinese))
[14] 李士斌,闫 铁,李 玮. 地层岩石可钻性的分形表示方法[J]. 石油学报,2006,27(1):124–127.(LI Shibin,YAN Tie,LI Wei. Fractal representation of rock drillability[J]. Acta Petrolei Sinica,2006,27(1):124–127.(in Chinese))
[15] 李士斌,李 玮. 岩石可钻性分形法的可行性分析[J]. 大庆石油学院学报,2006,30(3):24–27.(LI Shibin,LI Wei. Feasibility analysis of fractal characteristics of rock drillability[J]. Journal of Daqing Petroleum Institute,2006,30(3):24–27.(in Chinese))
[16] 闫 铁,李 玮,毕雪亮,等. 旋转钻井中岩石破碎能耗的分形分析[J]. 岩石力学与工程学报,2008,27(增2):3 649–3 654.(YAN Tie,LI Wei,BI Xueliang,et al. Fractal analysis of energy consumption of rock fragmentation in rotary drilling[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(Supp.2):3 649–3 654.(in Chinese))
[17] CHARLES R J. Energy-size reduction relationships in comminution[J]. Transaction of American Institute of Mining, Metallurgical,and Petroleum Engineers,1957,208:80–88.
[18] 陈庭根,管志川. 钻井工程理论与技术[M]. 东营:石油大学出版社,2000:36–49.(CHEN Tinggen,GUAN Zhichuan. Drilling engineering theory and technology[M]. Dongying:University of Petroleum Press,2000:36–49.(in Chinese))
[19] 谢和平. 分形–岩石力学导论[M]. 北京:科学出版社,1997:240–246.(XIE Heping. Introduction to fractal-rock mechanics[M]. Beijing:Science Press,1997:240–246.(in Chinese))
[20] 闫 铁,张 杨,李 玮,等. 基于分形维数的钻头优选指数标度法及其应用[J]. 石油学报,2012,33(3):291–294.(YAN Tie,ZHANG Yang,LI Wei,et al. An index-scaling procedure for bit optimization based on the fractal dimension and its application[J]. Acta Petrolei Sinica,2012,33(3):291–294.(in Chinese))
[21] 王城辉,廖淑华. 分形与石油[M]. 北京:石油工业出版社,1994:140–147.(WANG Chenghui,LIAO Shuhua. Fractal and oil[M]. Beijing:Petroleum Industry Press,1994:140–147.(in Chinese))
[22] 徐济银,蒋 杰. 钻头比水功率影响机械钻速的实验研究[J]. 钻采工艺,1994,1(4):29–32.(XU Jiyin,JIANG Jie. The experimental study on effect trend between dilling rate and specific hydraulic power[J]. Drilling and Production Technology,1994,1(4):29–32.(in Chinese))
[23] 闫 铁,李 玮,毕雪亮,等. 一种基于破碎比功的岩石破碎效率评价新方法[J]. 石油学报,2009,30(2):291–294.(YAN Tie,LI Wei,BI Xueliang,et al. A new evaluation method for rock-crushing efficiency based on crushing work ratio[J]. Acta Petrolei Sinica,2009,30(2):291–294.(in Chinese)) |
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